X-ray illuminated accretion discs and quasar microlensing disc sizes

We study the half-light radius versus black hole mass as well luminosity relations in active galactic nuclei (AGN) when disc is illuminated by X-ray corona. used KYNSED, a recently developed spectral model for studying broadband energy distribution AGN. considered non-illuminated Novikov-Thorne discs and based on temperature radial profile. also case where profile modified colour-correction factor. assumed that equal to accretion power dissipated below transition radius. The of radii can be up some three four times greater than standard disc, even non-spinning hole, due fact absorbed X-rays act secondary source energy, increasing temperature. Non-illuminated are consistent with observations, but only at 2.5sigma level. On other hand, explain both radius-black luminosity-black relation AGN, wide range physical parameters. In addition, we show observed gravitationally lensed quasars fully necessary heating disc. illumination was proposed many years ago various features commonly spectra Recently, showed UV/optical time-lags while this work, same account quasar micro-lensing size problem. These results support hypothesis